diff --git a/phino.cabal b/phino.cabal
--- a/phino.cabal
+++ b/phino.cabal
@@ -1,6 +1,6 @@
 cabal-version: 3.0
 name: phino
-version: 0.0.90
+version: 0.0.91
 license: MIT
 synopsis: Command-Line Manipulator of 𝜑-Calculus Expressions
 description: Please see the README on GitHub at <https://github.com/objectionary/phino#readme>
diff --git a/src/LaTeX.hs b/src/LaTeX.hs
--- a/src/LaTeX.hs
+++ b/src/LaTeX.hs
@@ -484,25 +484,21 @@
 
 -- 𝕄, 𝔻 and 𝔼 carry the universe and thread the state from 'sIn' to a new
 -- 'sOut', 𝕄(input, e, sIn) ⟿ ⟨output, sOut⟩, so they render with the universe
--- and incoming state as the middle arguments and a paired conclusion:
--- \phinoMorph{ input }{ e }{ sIn }{ ⟨output, sOut⟩ }. 𝒩 and 𝒞 carry neither
+-- and incoming state as the middle arguments and the new term and outgoing
+-- state as the last two arguments:
+-- \phinoMorph{ input }{ e }{ sIn }{ output }{ sOut }. 𝒩 and 𝒞 carry neither
 -- universe nor state.
 phinoMorph :: String -> String -> String -> String -> String -> String
-phinoMorph input univ sIn sOut output = printf "\\phinoMorph{ %s }{ %s }{ %s }{ %s }" input univ sIn (paired output sOut)
+phinoMorph input univ sIn sOut output = printf "\\phinoMorph{ %s }{ %s }{ %s }{ %s }{ %s }" input univ sIn output sOut
 
 phinoDataize :: String -> String -> String -> String -> String -> String
-phinoDataize input univ sIn sOut output = printf "\\phinoDataize{ %s }{ %s }{ %s }{ %s }" input univ sIn (paired output sOut)
+phinoDataize input univ sIn sOut output = printf "\\phinoDataize{ %s }{ %s }{ %s }{ %s }{ %s }" input univ sIn output sOut
 
 phinoNormalize :: String -> String -> String
 phinoNormalize input = printf "\\phinoNormalize{ %s }{ %s }" input
 
 phinoEvaluate :: String -> String -> String -> String -> String -> String
-phinoEvaluate input univ sIn sOut output = printf "\\phinoEvaluate{ %s }{ %s }{ %s }{ %s }" input univ sIn (paired output sOut)
-
--- The state-passing functions 𝕄, 𝔻 and 𝔼 return a pair ⟨output, state⟩, the
--- new value alongside the threaded state.
-paired :: String -> String -> String
-paired output state = printf "\\langle %s, %s \\rangle" output state
+phinoEvaluate input univ sIn sOut output = printf "\\phinoEvaluate{ %s }{ %s }{ %s }{ %s }{ %s }" input univ sIn output sOut
 
 phinoContextualize :: String -> String -> String -> String
 phinoContextualize input context = printf "\\phinoContextualize{ %s }{ %s }{ %s }" input context
diff --git a/test/CLISpec.hs b/test/CLISpec.hs
--- a/test/CLISpec.hs
+++ b/test/CLISpec.hs
@@ -1047,56 +1047,56 @@
         [ unlines
             [ "\\begin{phinoMorphingInference}"
             , "  \\phinoName{mf}"
-            , "  \\phinoConclusion{ \\phinoMorph{ [[ B ]] }{ e }{ s_1 }{ \\langle [[ B ]], s_1 \\rangle } }"
+            , "  \\phinoConclusion{ \\phinoMorph{ [[ B ]] }{ e }{ s_1 }{ [[ B ]] }{ s_1 } }"
             , "\\end{phinoMorphingInference}"
             , "\\begin{phinoMorphingInference}"
             , "  \\phinoName{ml}"
             , "  \\phinoLabel{\\lambda}"
-            , "  \\phinoPremise{ \\phinoEvaluate{ [[ B_1, L> F, B_2 ]] }{ e }{ s_1 }{ \\langle n, s_2 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoEvaluate{ [[ B_1, L> F, B_2 ]] }{ e }{ s_1 }{ n }{ s_2 } }"
             , "  \\phinoPremise{ \\phinoNormalize{ n . \\tau }{ n_1 } }"
-            , "  \\phinoPremise{ \\phinoMorph{ n_1 }{ e }{ s_2 }{ \\langle n_2, s_3 \\rangle } }"
-            , "  \\phinoConclusion{ \\phinoMorph{ [[ B_1, L> F, B_2 ]] . \\tau }{ e }{ s_1 }{ \\langle n_2, s_3 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoMorph{ n_1 }{ e }{ s_2 }{ n_2 }{ s_3 } }"
+            , "  \\phinoConclusion{ \\phinoMorph{ [[ B_1, L> F, B_2 ]] . \\tau }{ e }{ s_1 }{ n_2 }{ s_3 } }"
             , "\\end{phinoMorphingInference}"
             , "\\begin{phinoMorphingInference}"
             , "  \\phinoName{md}"
             , "  \\phinoCondition{ \\phinoNotFormation{ n } }"
-            , "  \\phinoPremise{ \\phinoMorph{ n }{ e }{ s_1 }{ \\langle n_1, s_2 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoMorph{ n }{ e }{ s_1 }{ n_1 }{ s_2 } }"
             , "  \\phinoPremise{ \\phinoNormalize{ n_1 . \\tau }{ n_2 } }"
-            , "  \\phinoPremise{ \\phinoMorph{ n_2 }{ e }{ s_2 }{ \\langle n_3, s_3 \\rangle } }"
-            , "  \\phinoConclusion{ \\phinoMorph{ n . \\tau }{ e }{ s_1 }{ \\langle n_3, s_3 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoMorph{ n_2 }{ e }{ s_2 }{ n_3 }{ s_3 } }"
+            , "  \\phinoConclusion{ \\phinoMorph{ n . \\tau }{ e }{ s_1 }{ n_3 }{ s_3 } }"
             , "\\end{phinoMorphingInference}"
             , "\\begin{phinoMorphingInference}"
             , "  \\phinoName{ma}"
-            , "  \\phinoPremise{ \\phinoMorph{ n }{ e }{ s_1 }{ \\langle n_1, s_2 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoMorph{ n }{ e }{ s_1 }{ n_1 }{ s_2 } }"
             , "  \\phinoPremise{ \\phinoNormalize{ n_1 ( \\tau -> e_1 ) }{ n_2 } }"
-            , "  \\phinoPremise{ \\phinoMorph{ n_2 }{ e }{ s_2 }{ \\langle n_3, s_3 \\rangle } }"
-            , "  \\phinoConclusion{ \\phinoMorph{ n ( \\tau -> e_1 ) }{ e }{ s_1 }{ \\langle n_3, s_3 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoMorph{ n_2 }{ e }{ s_2 }{ n_3 }{ s_3 } }"
+            , "  \\phinoConclusion{ \\phinoMorph{ n ( \\tau -> e_1 ) }{ e }{ s_1 }{ n_3 }{ s_3 } }"
             , "\\end{phinoMorphingInference}"
             , "\\begin{phinoMorphingInference}"
             , "  \\phinoName{maa}"
-            , "  \\phinoPremise{ \\phinoMorph{ n }{ e }{ s_1 }{ \\langle n_1, s_2 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoMorph{ n }{ e }{ s_1 }{ n_1 }{ s_2 } }"
             , "  \\phinoPremise{ \\phinoNormalize{ n_1 ( \\phiTerminal{\\alpha_{i}} -> e_1 ) }{ n_2 } }"
-            , "  \\phinoPremise{ \\phinoMorph{ n_2 }{ e }{ s_2 }{ \\langle n_3, s_3 \\rangle } }"
-            , "  \\phinoConclusion{ \\phinoMorph{ n ( \\phiTerminal{\\alpha_{i}} -> e_1 ) }{ e }{ s_1 }{ \\langle n_3, s_3 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoMorph{ n_2 }{ e }{ s_2 }{ n_3 }{ s_3 } }"
+            , "  \\phinoConclusion{ \\phinoMorph{ n ( \\phiTerminal{\\alpha_{i}} -> e_1 ) }{ e }{ s_1 }{ n_3 }{ s_3 } }"
             , "\\end{phinoMorphingInference}"
             , "\\begin{phinoMorphingInference}"
             , "  \\phinoName{root}"
             , "  \\phinoCondition{ e \\not= Q }"
             , "  \\phinoPremise{ \\phinoNormalize{ e }{ n } }"
-            , "  \\phinoPremise{ \\phinoMorph{ n }{ e }{ s_1 }{ \\langle n_1, s_2 \\rangle } }"
-            , "  \\phinoConclusion{ \\phinoMorph{ Q }{ e }{ s_1 }{ \\langle n_1, s_2 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoMorph{ n }{ e }{ s_1 }{ n_1 }{ s_2 } }"
+            , "  \\phinoConclusion{ \\phinoMorph{ Q }{ e }{ s_1 }{ n_1 }{ s_2 } }"
             , "\\end{phinoMorphingInference}"
             , "\\begin{phinoMorphingInference}"
             , "  \\phinoName{dead}"
-            , "  \\phinoConclusion{ \\phinoMorph{ T }{ e }{ s_1 }{ \\langle T, s_1 \\rangle } }"
+            , "  \\phinoConclusion{ \\phinoMorph{ T }{ e }{ s_1 }{ T }{ s_1 } }"
             , "\\end{phinoMorphingInference}"
             , "\\begin{phinoMorphingInference}"
             , "  \\phinoName{xi}"
-            , "  \\phinoConclusion{ \\phinoMorph{ \\phiTerminal{\\xi} }{ e }{ s_1 }{ \\langle T, s_1 \\rangle } }"
+            , "  \\phinoConclusion{ \\phinoMorph{ \\phiTerminal{\\xi} }{ e }{ s_1 }{ T }{ s_1 } }"
             , "\\end{phinoMorphingInference}"
             , "\\begin{phinoMorphingInference}"
             , "  \\phinoName{mg}"
-            , "  \\phinoConclusion{ \\phinoMorph{ Q }{ Q }{ s_1 }{ \\langle T, s_1 \\rangle } }"
+            , "  \\phinoConclusion{ \\phinoMorph{ Q }{ Q }{ s_1 }{ T }{ s_1 } }"
             , "\\end{phinoMorphingInference}"
             ]
         ]
@@ -1108,38 +1108,38 @@
             [ "\\begin{phinoDataizationInference}"
             , "  \\phinoName{delta}"
             , "  \\phinoLabel{\\Delta}"
-            , "  \\phinoConclusion{ \\phinoDataize{ [[ B_1, D> \\delta, B_2 ]] }{ e }{ s_1 }{ \\langle \\delta, s_1 \\rangle } }"
+            , "  \\phinoConclusion{ \\phinoDataize{ [[ B_1, D> \\delta, B_2 ]] }{ e }{ s_1 }{ \\delta }{ s_1 } }"
             , "\\end{phinoDataizationInference}"
             , "\\begin{phinoDataizationInference}"
             , "  \\phinoName{box}"
             , "  \\phinoCondition{ [ D, L ] \\cap \\lparen B_1 \\cup B_2 \\rparen = \\emptyset }"
             , "  \\phinoPremise{ \\phinoContextualize{ e_1 }{ [[ B_1, @ -> e_1, B_2 ]] }{ n } }"
             , "  \\phinoPremise{ \\phinoNormalize{ n }{ n_1 } }"
-            , "  \\phinoPremise{ \\phinoDataize{ n_1 }{ e }{ s_1 }{ \\langle \\delta, s_2 \\rangle } }"
-            , "  \\phinoConclusion{ \\phinoDataize{ [[ B_1, @ -> e_1, B_2 ]] }{ e }{ s_1 }{ \\langle \\delta, s_2 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoDataize{ n_1 }{ e }{ s_1 }{ \\delta }{ s_2 } }"
+            , "  \\phinoConclusion{ \\phinoDataize{ [[ B_1, @ -> e_1, B_2 ]] }{ e }{ s_1 }{ \\delta }{ s_2 } }"
             , "\\end{phinoDataizationInference}"
             , "\\begin{phinoDataizationInference}"
             , "  \\phinoName{fire}"
-            , "  \\phinoPremise{ \\phinoEvaluate{ [[ B_1, L> F, B_2 ]] }{ e }{ s_1 }{ \\langle n, s_2 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoEvaluate{ [[ B_1, L> F, B_2 ]] }{ e }{ s_1 }{ n }{ s_2 } }"
             , "  \\phinoPremise{ \\phinoNormalize{ n }{ n_1 } }"
-            , "  \\phinoPremise{ \\phinoDataize{ n_1 }{ e }{ s_2 }{ \\langle \\delta, s_3 \\rangle } }"
-            , "  \\phinoConclusion{ \\phinoDataize{ [[ B_1, L> F, B_2 ]] }{ e }{ s_1 }{ \\langle \\delta, s_3 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoDataize{ n_1 }{ e }{ s_2 }{ \\delta }{ s_3 } }"
+            , "  \\phinoConclusion{ \\phinoDataize{ [[ B_1, L> F, B_2 ]] }{ e }{ s_1 }{ \\delta }{ s_3 } }"
             , "\\end{phinoDataizationInference}"
             , "\\begin{phinoDataizationInference}"
             , "  \\phinoName{none}"
             , "  \\phinoCondition{ [ D, L, @ ] \\cap \\lparen B \\rparen = \\emptyset }"
-            , "  \\phinoConclusion{ \\phinoDataize{ [[ B ]] }{ e }{ s_1 }{ \\langle --, s_1 \\rangle } }"
+            , "  \\phinoConclusion{ \\phinoDataize{ [[ B ]] }{ e }{ s_1 }{ -- }{ s_1 } }"
             , "\\end{phinoDataizationInference}"
             , "\\begin{phinoDataizationInference}"
             , "  \\phinoName{end}"
-            , "  \\phinoConclusion{ \\phinoDataize{ T }{ e }{ s_1 }{ \\langle --, s_1 \\rangle } }"
+            , "  \\phinoConclusion{ \\phinoDataize{ T }{ e }{ s_1 }{ -- }{ s_1 } }"
             , "\\end{phinoDataizationInference}"
             , "\\begin{phinoDataizationInference}"
             , "  \\phinoName{norm}"
             , "  \\phinoCondition{ \\phinoNotFormation{ n } \\;\\text{and}\\; n \\not= T }"
-            , "  \\phinoPremise{ \\phinoMorph{ n }{ e }{ s_1 }{ \\langle n_1, s_2 \\rangle } }"
-            , "  \\phinoPremise{ \\phinoDataize{ n_1 }{ e }{ s_2 }{ \\langle \\delta, s_3 \\rangle } }"
-            , "  \\phinoConclusion{ \\phinoDataize{ n }{ e }{ s_1 }{ \\langle \\delta, s_3 \\rangle } }"
+            , "  \\phinoPremise{ \\phinoMorph{ n }{ e }{ s_1 }{ n_1 }{ s_2 } }"
+            , "  \\phinoPremise{ \\phinoDataize{ n_1 }{ e }{ s_2 }{ \\delta }{ s_3 } }"
+            , "  \\phinoConclusion{ \\phinoDataize{ n }{ e }{ s_1 }{ \\delta }{ s_3 } }"
             , "\\end{phinoDataizationInference}"
             ]
         ]
